An epidemic model in a patchy environment.

No abstract is available for this paper.

• Publication year

  2004

• Venue

  Mathematical Biosciences

• Publication date

  2004-07-01

• Fields of study

  Biology, Mathematics, Medicine, Environmental Science

• Identifiers
  DOI 10.1016/J.MBS.2002.11.001PMID 15172805
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• UNIFORM PERSISTENCE AND PERIODIC COEXISTENCE STATES IN INFINITE-DIMENSIONAL PERIODIC SEMIFLOWS WITH APPLICATIONS

  2005cited by this paper
• GLOBAL ASYMPTOTIC BEHAVIOR IN SOME COOPERATIVE SYSTEMS OF FUNCTIONAL DIFFERENTIAL EQUATIONS

  2005cited by this paper
• Global dynamics of an epidemic model with time delay

  2002cited by this paper
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission.

  2002cited by this paper
• Threshold Dynamics in a Delayed SIS Epidemic Model

  2001cited by this paper
• Models for transmission of disease with immigration of infectives.

  2001cited by this paper
• Chain Transitivity, Attractivity, and Strong Repellors for Semidynamical Systems

  2001cited by this paper
• Two SIS epidemiologic models with delays

  2000cited by this paper
• Uniform persistence and permanence for non-autonomous semiflows in population biology.

  2000cited by this paper
• Endemic Models with Arbitrarily Distributed Periods of Infection II: Fast Disease Dynamics and Permanent Recovery

  2000cited by this paper
• Endemic Models with Arbitrarily Distributed Periods of Infection I: Fundamental Properties of the Model

  2000cited by this paper
• The Mathematics of Infectious Diseases

  2000cited by this paper
• An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations.

  2000cited by this paper
• Interaction of maturation delay and nonlinear birth in population and epidemic models

  1999cited by this paper
• Interaction of maturation delay and nonlinear birth in population and epidemic models

  1999influential reference
• Analysis of an SEIRS epidemic model with two delays

  1996cited by this paper
• Mathematical Structures of Epidemic Systems

  1993cited by this paper
• Persistence under relaxed point-dissipativity (with application to an endemic model)

  1993cited by this paper
• Infectious diseases of humans: R. M. Anderson & R. M. May. Oxford etc.: Oxford University Press, 1991. viii + 757 pp. Price £50. ISBN 0-19-854599-1

  1992cited by this paper
• Infectious Diseases of Humans: Dynamics and Control

  1991cited by this paper
• The basic reproduction ratio for sexually transmitted diseases: I. Theoretical considerations.

  1991cited by this paper
• On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations

  1990cited by this paper
• The basic reproduction ratio for sexually transmitted diseases

  1990cited by this paper
• Asymptotic Behavior of Dissipative Systems

  1988cited by this paper
• Qualitative analyses of communicable disease models

  1976cited by this paper
• Theory of the chemostat.

  1965cited by this paper

• Asymptotic Profiles and Disease Prevalence at the Steady State for an SIS Patch Model

  2026cites this paper
• Periodic wave propagation of a discrete diffusive vector-borne epidemic model in spatially periodic patchy environment

  2026cites this paper
• Adaptive-based generalized asymptotic outer synchronization control for heterogeneous complex dynamic networks with double time-varying delays

  2026cites this paper
• A new analytical approach in studying some epidemic PDE model with singular chemotaxis sensitivity

  2026cites this paper
• The impact of migration-mediated multi-threshold control strategies on disease spread of a Filippov patch epidemic model.

  2026cites this paper
• Impact of heterogeneous vaccination and contact on influenza dynamics in age structure population

  2026cites this paper
• Differentiated optimal control strategy of brucellosis in Ningxia, China: insights from a two-patch dynamical model

  2025cites this paper
• Multi-city modeling of epidemics using a topology-based SIR model: Neural network-enhanced SAIRD model

  2025cites this paper
• Dynamics of an epidemic metapopulation system with heterogeneous threshold control and implications for threshold policy design

  2025cites this paper
• Modeling and optimal control analysis of age-structured Brucellosis under environmental transmission with vaccination and culling

  2025cites this paper
• Modeling the Transmission Dynamic of Mpox Virus With Vertical Transmission

  2025influential citation
• Threshold dynamics of a dengue fever model with seasonality and multiple patches

  2025cites this paper
• Dynamics of solutions to a multi-patch epidemic model with a saturation incidence mechanism

  2025cites this paper
• A metapopulation SIHURD model

  2025cites this paper
• Multiscale Metapopulations

  2025cites this paper
• A two-group epidemic model with heterogeneity in cognitive effects.

  2025influential citation
• Threshold dynamics of a two-patch SIS epidemic model with stochastic population movement

  2025cites this paper
• Theoretical analysis and practical application of multi-patch infectious disease model

  2025cites this paper
• Saturated incidence tends to ease disease persistence: Analysis of an SIS epidemic patch model

  2025cites this paper
• Analysis of an HIV/AIDS Model with sexual transmission and travel in a patchy environment

  2025influential citation
• Stability and threshold analysis of a class of epidemic models in a multi-patch environment.

  2025cites this paper
• A Two-Patch Epidemic Model with PrevalenceDependent Contact Patterns and Migration Rates

  2025cites this paper
• Analysis of human papillomavirus model with vaccination and individual heterogeneity

  2025influential citation
• Modelling and analysis of an epidemic model with awareness caused by deaths due to fear

  2025influential citation
• Analysis of Huanglongbing transmission model with vector preferences and heterogeneous environments

  2024cites this paper
• Dynamics of a two-patch SIR model with disease surveillance mediated infection force

  2024cites this paper
• Integrating Human Mobility Quantification into Epidemics Prediction for Effectively Assessing Impact of Transportation

  2024cites this paper
• Stability Analysis of Drug-Resistant Tuberculosis Model in a Two-Patch Environment

  2024cites this paper
• Analysis of an SIRS Model in Two-Patch Environment in Presence of Optimal Dispersal Strategy

  2024cites this paper
• Epidemic waves for a two-group SIRS model with double nonlocal effects in a patchy environment

  2024cites this paper
• Vector-borne disease models with Lagrangian approach

  2024cites this paper
• A mathematical model for HIV dynamics with multiple infections: implications for immune escape

  2024influential citation
• Untangling the mobility dynamics in a patchy environment: An SEIR epidemic model with vertical transmission

  2024cites this paper
• Modeling the impact of screening awareness and vaccination on human papilloma virus transmission

  2024cites this paper
• Threshold dynamics and bifurcation analysis of an SIS patch model with delayed media impact

  2024cites this paper
• A framework for the modelling and the analysis of epidemiological spread in commuting populations.

  2024cites this paper
• Modelling the dynamics of hand, foot, and mouth disease transmission through fomites and immigration

  2024influential citation
• Dynamics and optimal control of tuberculosis model with the combined effects of vaccination, treatment and contaminated environments.

  2024influential citation
• Propagation dynamics for an epidemic patch model with variable incubation period

  2024cites this paper
• R0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R_0$$\end{document} May Not Tell Us Everything: Transient Disease Dy

  2024cites this paper
• Analysis of drug-resistant tuberculosis in a two-patch environment using Caputo fractional-order modeling

  2024cites this paper
• Dynamic Modeling of Antibody Level Changes with Individual Age: The Case of COVID-19 Spread in China

  2023cites this paper
• Transmission of drug-resistant bacteria in a hospital-community model stratified by patient risk

  2023cites this paper
• Analysis of a Reaction-Diffusion Susceptible-Infected-Susceptible Epidemic Patch Model Incorporating Movement Inside and Among Patches

  2023cites this paper
• Dynamics analysis of an SVEIR epidemic model in a patchy environment.

  2023cites this paper
• Analysis of a chemotaxis-SIS epidemic model with unbounded infection force

  2023cites this paper
• Relative prevalence-based dispersal in an epidemic patch model

  2023cites this paper
• On the dynamics of an epidemic patch model with mass‐action transmission mechanism and asymmetric dispersal patterns

  2023cites this paper
• Spatial movement with memory-induced cross-diffusion effect and toxin effect in predator

  2023cites this paper
• Spatial Propagation for an Epidemic Model in a Patchy Environment

  2023cites this paper
• Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities

  2023cites this paper
• Destabilization of synchronous periodic solutions for patch models

  2023cites this paper
• Dynamic analysis of pandemic cross-regional transmission considering quarantine strategies in the context of limited medical resources

  2023cites this paper
• The Steady State Bifurcation for General Network-Organized Reaction-Diffusion Systems and Its Application in a Metapopulation Epidemic Model

  2023cites this paper
• Effects of population dispersals on measles dynamics

  2023cites this paper
• Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment

  2023influential citation
• Global stability of a HIV-1 CCR5 gene therapy with suicide gene

  2023influential citation
• Leader‐following consensus and qualitative analysis of a new multi‐agent‐based epidemic model

  2023cites this paper
• Effect of Non-homogeneous Mixing and Asymptomatic Individuals on Final Epidemic Size and Basic Reproduction Number in a Meta-Population Model

  2022cites this paper
• An SIS epidemic model in a patchy environment with pulse vaccination and quarantine

  2022cites this paper
• An SIS epidemic model with mass action infection mechanism in a patchy environment

  2022cites this paper
• Competitive exclusion of two viral strains of COVID-19

  2022cites this paper
• SIS Epidemic Spreading Under Multilayer Population Dispersal in Patchy Environments

  2022cites this paper
• Network spreading among areas: A dynamical complex network modeling approach.

  2022cites this paper
• Long-Term Forecast of HIV/AIDS Epidemic in China with Fear Effect and 90-90-90 Strategies

  2022cites this paper
• Stochastic Stability Analysis for Stochastic Coupled Oscillator Networks with Bidirectional Cross-Dispersal

  2022cites this paper
• Tracking control for the nonlinear complex dynamical network assisted with outgoing links dynamics

  2022cites this paper
• The heterogeneous mixing model of COVID-19 with interventions

  2022cites this paper
• The Global dynamics of a SIR model considering competitions among multiple strains in patchy environments.

  2022cites this paper
• A patchy model for tick population dynamics with patch-specific developmental delays.

  2022cites this paper
• A SIR Model with Spatially Distributed Multiple Populations Interactions for Disease Dissemination

  2022cites this paper
• Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies

  2022cites this paper
• Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions

  2022cites this paper
• The Role of Permanently Resident Populations in the Two-Patches SIR Model with Commuters

  2022cites this paper
• An almost periodic Dengue transmission model with age structure and time-delayed input of vector in a patchy environment

  2021cites this paper
• Understanding the epidemiological patterns in spatial networks

  2021cites this paper
• An epidemic model with transport-related infection incorporating awareness and screening

  2021cites this paper
• Exponential stabilization for fractional intermittent controlled multi-group models with dispersal

  2021cites this paper
• Reassessment of contact restrictions and testing campaigns against COVID-19 via spatio-temporal modeling

  2021cites this paper
• On the Transmission of COVID-19 and Its Prevention and Control Management

  2021cites this paper
• Understanding Rabies Persistence in Low-Density Fox Populations

  2021cites this paper
• Structure of epidemic models: toward further applications in economics

  2021cites this paper
• Implications of seasonal variations, host and vector migration on spatial spread of sleeping sickness: Insights from a mathematical model

  2021cites this paper
• Modelling and analysis of a SEIQR model on COVID-19 pandemic with delay

  2021cites this paper
• Modeling epidemic spread in transportation networks: A review

  2021cites this paper
• Transmission Dynamics of COVID-19 Pandemic Non-pharmaceutical Interventions and Vaccination

  2021cites this paper
• Impact of State-Dependent Dispersal on Disease Prevalence

  2021cites this paper
• Hybrid-Quantum approach for the optimal lockdown to stop the SARS-CoV-2 community spread subject to maximizing nation economy globally

  2021cites this paper
• Asymptotic behavior of the principal eigenvalue and the basic reproduction ratio for periodic patch models

  2021cites this paper
• SIS Epidemic Model under Mobility on Multi-layer Networks

  2020cites this paper
• A Network SIS Meta-Population Model with Transportation Flow

  2020influential citation
• Optimal control strategies for a two-group epidemic model with vaccination-resource constraints

  2020cites this paper
• A Stage-Structured Predator-Prey Model in a Patchy Environment

  2020cites this paper
• Special issue of the Journal of Mathematical Biology to honor Alan Hastings’ 65th birthday

  2020cites this paper
• Deciphering role of inter and intracity human dispersal on epidemic spread via coupled reaction-diffusion models

  2020cites this paper
• GLOBAL STABILITY OF AUTONOMOUS AND NONAUTONOMOUS HEPATITIS B VIRUS MODELS IN PATCHY ENVIRONMENT

  2020cites this paper
• Optimal Pandemic Control: Limited Resource and Human Mobility

  2020cites this paper
• Stability Analysis of Delayed Age-structured Resource-Consumer Model of Population Dynamics with Saturated Intake Rate

  2020cites this paper
• Deciphering role of inter and intracity human dispersal on epidemic spread via coupled reaction-diffusion models

  2020cites this paper
• A network model of Italy shows that intermittent regional strategies can alleviate the COVID-19 epidemic

  2020cites this paper